Use the best-fitting exponential model to determine the answer to each question. (For problems using calendar years, “reset the clock” so that t = 0 in the year for which you first have data.)
Exercise
The atmospheric pressure p (in pounds per square inch, lb/in2) is a naturally declining function of the altitude x above sea level. The following table gives p; as a function of x in thousands of feet:
Altitude x (thousands of feet) | 0 | 4 | 8 | 12 |
Pressure p (lb/in2) | 14.7 | 12.6 | 10.9 | 9.3 |
a. Suppose that you (like most people) cannot survive without special conditioning at an air pressure of less than 7.5 lb/in2. I hen how high could you safely fly in an airplane without pressurization?
b. What is the air pressure atop Mt. Everest (at 29,029 feet)?
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